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Finding the Fourth Proportional to 12,586.73, 17,364.65 and 8,113.10

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Solution

The fourth proportional to 12,586.73, 17,364.65 and 8,113.10 is: 11,192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.73 : 17,364.65 = 8,113.10 : x
  2. Step 2: Convert to fraction form
    12,586.73/17,364.65 = 8,113.10/x
  3. Step 3: Cross multiply
    12,586.73x = 17,364.65 × 8,113.10
  4. Step 4: Simplify right side
    12,586.73x = 140,881,014.53
  5. Step 5: Solve for x
    x = 140,881,014.53/12,586.73
  6. Step 6: Final answer
    x = 11,192.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.